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Finding the Fourth Proportional to 200.75, 276.85 and 156.50

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Solution

The fourth proportional to 200.75, 276.85 and 156.50 is: 215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 276.85 = 156.50 : x
  2. Step 2: Convert to fraction form
    200.75/276.85 = 156.50/x
  3. Step 3: Cross multiply
    200.75x = 276.85 × 156.50
  4. Step 4: Simplify right side
    200.75x = 43,326.87
  5. Step 5: Solve for x
    x = 43,326.87/200.75
  6. Step 6: Final answer
    x = 215.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.